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18133091962640 = 245313772254909
BaseRepresentation
bin1000001111101111100001…
…00000010100111100010000
32101012111200100121212200022
410013313300200110330100
54334043033020301030
6102322121043443012
73551033631362324
oct407676040247420
971174610555608
1018133091962640
115861223758706
12204a393986468
13a16c35396aa5
1446990977b984
15216a3b3c8de5
hex107df0814f10

18133091962640 has 40 divisors (see below), whose sum is σ = 42172878809880. Its totient is φ = 7250924527616.

The previous prime is 18133091962627. The next prime is 18133091962649. The reversal of 18133091962640 is 4626919033181.

It can be written as a sum of positive squares in 4 ways, for example, as 4444068745216 + 13689023217424 = 2108096^2 + 3699868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (18133091962649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35876495 + ... + 36378414.

It is an arithmetic number, because the mean of its divisors is an integer number (1054321970247).

Almost surely, 218133091962640 is an apocalyptic number.

18133091962640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18133091962640 is an abundant number, since it is smaller than the sum of its proper divisors (24039786847240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18133091962640 is a wasteful number, since it uses less digits than its factorization.

18133091962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72258059 (or 72258053 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 18133091962640 in words is "eighteen trillion, one hundred thirty-three billion, ninety-one million, nine hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3137 6274 12548 15685 25096 31370 50192 62740 125480 250960 72254909 144509818 289019636 361274545 578039272 722549090 1156078544 1445098180 2890196360 5780392720 226663649533 453327299066 906654598132 1133318247665 1813309196264 2266636495330 3626618392528 4533272990660 9066545981320 18133091962640